Transitive dendrite map with infinite decomposition ideal

By a result of Blokh from 1984, every transitive map of a tree has the relative specification property, and so it has finite decomposition ideal, positive entropy and dense periodic points. In this paper we construct a transitive dendrite map with infinite decomposition ideal and a unique periodic point. Basically, the constructed map is (with respect to any non-atomic invariant measure) a measure-theoretic extension of the dyadic adding machine. Together with an example of Hoehn and Mouron from 2013, this shows that transitivity on dendrites is much more varied than that on trees

Recurrence analysis of uniform binary substitutions

Recurrence rate, determinism, average line length, and entropy of line lengths are measures of complexity in recurrence quantification analysis, that help to understand the structure, predictability and complexity of dynamical systems. In this paper, we provide explicit formulas for these characteristics for all binary substitutions of constant length. Moreover, we show that the determinism of such substitutions converges to one, which shows that these systems are highly predictable

Graphene oxide reduction during surface-initiated atom transfer radical polymerization of glycidyl methacrylate: Controlling electro-responsive properties

Unique grafting of the poly(glycidyl methacrylate) from the surface of graphene oxide (GO) with the controllable reduction of GO particles was performed in a single-step reaction using atom transfer radical polymerization technique. The control of the GO surface reduction and modification can be achieved by appropriate selection of the ratio between tertiary amine and GO particle contents. Finely tuned electrical conductivity of the GO-PGMA particles enables simple tailoring of electro-responsive properties of their silicone oil suspensions. © 2015 Elsevier B.V.Operational Program Research and Development for Innovations; European Regional Development Fund (ERDF); National Budget of the Czech Republic, within the framework of the project Centre of Polymer Systems [CZ.1.05/2.1.00/03.0111